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Proper Fractions:

The numerator is lesser than the the denominator. There are no decimals as in other fractions.

Improper Fractions:

In an improper fraction, the numerator is greater than the denominator. These types of fractions can be converted into mixed number.

Mixed Fractions:

They consists of a whole number and a proper fraction and can be converted into an improper fraction. Mixed fractions are a simplified version of improper fractions.

Equivalent Fractions:

Equivalent fractions are two or more fractions that represent the same value and but have different proportions.These fractions can be found by reducing a fraction to its simplest terms.

Lowest Common Denominator:

The lowest common factor of two or more fractions. You can just call it the LCD for short. Look at the last slide of the presentation above to show you LCD.

Convert an improper fraction to a mixed number:
You see how many times the denominator goes into the numerator. Then, if it doesnt go in evenly, you take the remainder and use it as the numerator for the new fraction. Keep the same denominator. Reduce if needed.

Converting a mixed number into an improper fractions:
Multiply the whole number and denominator together and then add the numerator. Keep the same denominator.

Equivalent fractions:
Take two or more fractions and reduce them to the smallest terms. *Remember, that whatever you do to the numerator you must do to the denominator.

Simplifiying any type of fraction:
You only simplify the fraction part. When simplifying an improper fraction, you have to convert it into a mixed number first, then see if you need to reduce from then on. Mixed numbers only need to simplify the fraction part, NOTHING ELSE. Simplifying fractions is shown in the equivalent fractions section. If you have a number like 9/15, do not be fooled. Divide it by the largest multiple that both the numerator and the denominator have. Using 9/15 as an example, this number would be 3 leaving 9/15 as 3/5. All you need to know is your multiplication table and the rest just comes along.

Finding the LCD:
It's easier to refer to a multiplication chart than to write it all out. Look at the denominators. If they are like 2, 4, 12, then all you need to do is multiply 2 by 6 and 4 by 3 since 2 and 4 both have 12 as a factor. 12 would be the LCD there. If the denominators are like 6, 2, 5, then you have to find the lowest factor that they all have (6, 12, 18, 24, 30 | 5, 10, 15, 20, 25, 30 | 30/2=15). In this case 30 is the lowest common denominator. And so it just goes on and on and on...

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